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Imagine you have 6 chocolate bars and 5 hungry friends. Nobody wants to be left out, and nobody wants a bar to go to waste. So how much does each person get? That small, very human question is exactly what 6 divided by 5 answers. The short answer: 6 divided by 5 equals 1.2. But the story behind that number is far more interesting than a single line on a calculator. Let's unpack it.
The Quick Answer
6 ÷ 5 = 1.2
That means if you split 6 into 5 equal parts, each part is 1.2. You can also say it as 1 and 1/5, or as 120 percent. Same value, different outfits.
How to Solve 6 Divided by 5 Step by Step
There is more than one way to solve 6 ÷ 5. Explore these three simple methods and choose the one that feels most natural!
Method 1: Long Division
Follow these steps to divide 6 by 5:
- Ask how many times 5 fits into 6. It fits 1 time, because 5 × 1 = 5.
- Subtract 6 − 5 = 1. The remainder is 1.
- Add a decimal point and a zero to make the remainder 10.
- Ask how many times 5 fits into 10. It fits 2 times, because 5 × 2 = 10.
- Subtract 10 − 10 = 0. There is no remainder.
6 ÷ 5 = 1.2
Method 2: Think in Whole Numbers and Remainders
If decimals are not needed, you can solve 6 ÷ 5 by dividing whole numbers first.
6 ÷ 5 = 1 remainder 1
This means 5 fits into 6 once, with 1 left over.
Imagine sharing 6 cookies among 5 people. Each person gets 1 whole cookie, and 1 cookie remains to be shared or saved for later.
Method 3: Mental Math Trick
Dividing by 5 is the same as multiplying by 2 and then dividing by 10. This trick makes mental calculations easier!
Since 6 × 2 = 12 and 12 ÷ 10 = 1.2, we get the same answer!
Quick Recap
You can express the result as a decimal, an improper fraction, or a mixed number.
6 Divided by 5 as a Fraction
Every division problem can be written as a fraction. So, when we divide 6 by 5, we get a fraction that is easy to understand and simplify.
Follow these simple steps to convert the fraction:
- Divide 6 by 5. You get 1 with a remainder of 1.
- The whole number is 1, and the remainder becomes the new numerator.
- The denominator stays the same: 5.
- Therefore, 6/5 = 1 1/5.
The same mathematical value can be represented in different forms. Here is a quick comparison:
| Form | Value |
|---|---|
| Division | 6 ÷ 5 |
| Improper Fraction | 6/5 |
| Mixed Number | 1 1/5 |
| Decimal | 1.2 |
| Percentage | 120% |
Yes! Since 6 and 5 have no common factor other than 1, the fraction 6/5 is already fully simplified.
A Common Mix-Up: 6 Divided by 1/5
Here is where many learners get tripped up. 6 divided by 1/5 looks similar to 6 divided by 5, but it is a completely different problem with a very different answer.
The rule for dividing by a fraction is simple: keep, change, flip.
- Keep the first number: 6
- Change the division sign to multiplication
- Flip the second fraction (take its reciprocal): 1/5 becomes 5/1
So 6 ÷ 1/5 = 6 × 5 = 30.
Why is the answer so much bigger? Think about it as a question: how many fifths fit inside 6? Every whole number holds 5 fifths, so 6 wholes hold 6 × 5 = 30 fifths.
Compare the two side by side:
| Problem | Answer | What It Means |
|---|---|---|
| 6 ÷ 5 | 1.2 | Split 6 into 5 equal parts. |
| 6 ÷ 1/5 | 30 | How many one-fifths fit into 6? |
Real-Life Examples of 6 Divided by 5
Math becomes easier to understand when you connect it to everyday life. Here are five practical examples of 6 ÷ 5:
- Sharing Food: Six pizzas shared equally among five people means each person gets 1.2 pizzas, or one whole pizza plus one-fifth of another.
- Money: If five friends split ₹600 equally, each pays ₹120. Dividing 6 by 5 and dividing 600 by 5 follow the same basic principle.
- Time: A 6-hour project split across five days takes 1.2 hours per day, or 1 hour and 12 minutes.
- Speed and Travel: Covering 6 kilometres in 5 minutes means travelling at an average speed of 1.2 kilometres per minute.
- Grades and Growth: Going from 5 to 6 is a 20% increase because the increase of 1 is 20% of the original 5.
Quick Practice Round
Test your understanding with these five questions before checking the answers.
- What is 6 ÷ 5 as a decimal?
- Write 6 divided by 5 as a fraction.
- Convert 6/5 to a mixed number.
- What is 6 divided by 1/5?
- What is 12 ÷ 5? (Hint: use the double-and-divide-by-10 trick.)
Reveal the Answers
1. 1.2
2. 6/5
3. 1 1/5
4. 30
5. 2.4
So, what is 6 divided by 5? It is 1.2, a tidy decimal that is also the fraction 6/5, the mixed number 1 1/5, and 120 percent, all wearing different costumes. And remember the plot twist: 6 divided by 1/5 is 30, a totally different story.
Once you see division as fair sharing, and fractions as division in disguise, problems like this stop being scary and start being satisfying. The next time five friends and six chocolate bars show up in your life, you will know exactly what to do.
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Frequently Asked Questions
What is 6 divided by 5?
It equals 1.2, which can also be written as 6/5 or the mixed number 1 1/5.
Is 6 divided by 5 a whole number?
No. The answer is 1.2, which lies between the whole numbers 1 and 2.
What is 6 divided by 5 with a remainder?
The quotient is 1 and the remainder is 1, because 5 fits into 6 once, leaving 1.
What is 6 divided by 5 as a fraction?
It is 6/5, an improper fraction equivalent to the mixed number 1 1/5.
What is 6 divided by 1/5?
The answer is 30. Dividing by 1/5 is the same as multiplying by its reciprocal, 5: 6 × 5 = 30.
Does 6 divided by 5 give a repeating decimal?
No. The decimal ends at 1.2, so it is a terminating decimal rather than a repeating decimal.
